Publications (34)
Price's Law on Nonstationary Spacetimes
Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu
Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles
Jason Metcalfe, Christopher D. Sogge
Sharp local smoothing for manifolds with smooth inflection transmission
Hans Christianson, Jason Metcalfe
Localized energy estimates on Myers-Perry space-times
Parul Laul, Jason Metcalfe, Shreyas Tikare +1
Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains
Jason Metcalfe, Makoto Nakamura, Christopher D. Sogge
Strichartz estimates on Schwarzschild black hole backgrounds
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru +1
On Abstract Strichartz Estimates and the Strauss Conjecture for Nontrapping Obstacles
Kunio Hidano, Jason Metcalfe, Hart F. Smith +2
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru
Localized energy for wave equations with degenerate trapping
Robert Booth, Hans Christianson, Jason Metcalfe +1
Global parametrices and dispersive estimates for variable coefficient wave equations
Jason Metcalfe, Daniel Tataru
The Strauss conjecture on Kerr black hole backgrounds
Hans Lindblad, Jason Metcalfe, Christopher D. Sogge +2
The Strauss conjecture on asymptotically flat space-times
Jason Metcalfe, Chengbo Wang
Nonlinear hyperbolic equations in infinite homogeneous waveguides
Jason Metcalfe, Christopher D. Sogge, Ann Stewart
Wave packet parametrices for evolutions governed by PDO's with rough symbols
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru
Hyperbolic trapped rays and global existence of quasilinear wave equations
Jason Metcalfe, Christopher D. Sogge
Global Strichartz Estimates for Solutions to the Wave Equation Exterior to a Convex Obstacle
Jason Metcalfe
The lifespan for 3-dimensional quasilinear wave equations in exterior domains
John Helms, Jason Metcalfe
Global existence for systems of quasilinear wave equations in (1+4)-dimensions
Jason Metcalfe, Katrina Morgan
Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition
Jason Metcalfe, Makoto Nakamura, Christopher D. Sogge
Nonlinear bound states on weakly homogeneous spaces
Hans Christianson, Jeremy Marzuola, Jason Metcalfe +1
Local energy decay for scalar fields on time dependent non-trapping backgrounds
Jason Metcalfe, Jacob Sterbenz, Daniel Tataru
Global existence for a coupled wave system related to the Strauss conjecture
Jason Metcalfe, David Spencer
Localized energy estimates for wave equations on high dimensional Schwarzschild space-times
Parul Laul, Jason Metcalfe
Concerning the Strauss conjecture and almost global existence for nonlinear Dirichlet-wave equations in 4-dimensions
Yi Du, Jason Metcalfe, Christopher D. Sogge +1
Decay estimates for variable coefficient wave equations in exterior domains
Jason Metcalfe, Daniel Tataru
Elastic waves in exterior domains, Part II: Global existence with a null structure
Jason Metcalfe, Becca Thomases
Global existence for semilinear wave equations exterior to nontrapping obstacles
Jason Metcalfe
Pointwise decay for the Maxwell field on black hole space-times
Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu
Almost global existence for quasilinear wave equations in waveguides with Neumann boundary conditions
Jason Metcalfe, Ann Stewart
Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions
Jason Metcalfe, Christopher D. Sogge
Quasilinear Schrödinger equations II: Small data and cubic nonlinearities
Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru
Quasilinear Schrödinger equations I: Small data and quadratic interactions
Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru
Global existence of null-form wave equations in exterior domains
Jason Metcalfe, Christopher D. Sogge
Paraproducts in One and Several Parameters
Michael T Lacey, Jason Metcalfe